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Finding the Fourth Proportional to 32,332, 48,500.82 and 8,958.64

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Solution

The fourth proportional to 32,332, 48,500.82 and 8,958.64 is: 13,438.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,332 : 48,500.82 = 8,958.64 : x
  2. Step 2: Convert to fraction form
    32,332/48,500.82 = 8,958.64/x
  3. Step 3: Cross multiply
    32,332x = 48,500.82 × 8,958.64
  4. Step 4: Simplify right side
    32,332x = 434,501,386.08
  5. Step 5: Solve for x
    x = 434,501,386.08/32,332
  6. Step 6: Final answer
    x = 13,438.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.